Bài 2:
\(a,2^x.4=16\)
\(2^x=4=2^1\)
Vậy \(x=1\)
_________________
\(b,3^x.3=243\)
\(3^x=81=3^4\)
Vậy \(x=4\)
__________________
\(c,64.4^x=16^8\)
\(4^3.4^x=4^{16}\)
\(4^x=4^{12}\)
Vậy \(x=12\)
__________________
\(d,2^x.16^2=1024\)
\(2^x.2^8=2^{10}\)
\(2^x=2^2\)
Vậy \(x=2\)
Bài 1:
a) \(2^n=8\Rightarrow2^n=2^3\Rightarrow n=3\)
b) \(7^n=49\Rightarrow7^n=7^2\Rightarrow n=7\)
c) \(4^n=64\Rightarrow4^n=4^3\Rightarrow n=3\)
d) \(5^n=625\Rightarrow5^n=5^4\Rightarrow n=4\)
Bài 2:
a) \(2^x\cdot4=16\Rightarrow2^x=4\Rightarrow2^x=2^2\Rightarrow x=2\)
b) \(3^x\cdot3=243\Rightarrow3^x=81\Rightarrow3^x=3^4\Rightarrow x=4\)
c) \(64\cdot4^x=16^8\Rightarrow4^x=4^{13}\Rightarrow x=13\)
d) \(2^x\cdot16^2=1024\Rightarrow x=2\)
Bài 3:
a) \(\left(2x-2\right)^3=8\Rightarrow\left(2x-2\right)^3=2^3\)
\(\Rightarrow2x-2=2\Rightarrow2x=4\Rightarrow x=2\)
Bài 2
a) 2^x . 4 = 16
2^x = 16 : 4
2^x = 2²
x = 2
b) 3^x . 3 = 243
3^x = 243 : 3
3^x = 81
3^x = 3⁴
x = 4
c) 64 . 4^x = 16⁸
4³ . 4^x = (4²)⁸
4^x = 4¹⁶ : 4³
4^x = 4¹⁵
x = 15
d) 2^x . 16² = 1024
2^x . (2⁴)² = 2¹⁰
2^x . 2⁸ = 2¹⁰
2^x = 2¹⁰ : 2⁸
2^x = 2²
x = 2
Bài 3
a) (2x - 2)³ = 8
(2x - 2)³ = 2³
2x - 2 = 2
2x = 4
x = 4 : 2
x = 2
b) Hình thiếu
Bài 3:
\(a,\left(2x-2\right)^3=8\)
\(\left(2x-3\right)^3=2^3\)
\(\Rightarrow2x-2=3\)
\(2x=5\)
Vậy \(x=\dfrac{5}{2}\)
______________
\(b,3+2^{x-1}=24-\left[.....\right]\) (Bạn chụp thiếu đề)
a,2x.4=16
=>2x=16:4
=>2x=4
=>2x=22
=>x=2
Vậy x=2
b,3x.3=243
=>3x=243:3
=>3x=81
=>3x=34
=>x=4
Vậy x=4
c,64.4x=168
=>43.4x=416
=>4x=416:43
=>4x=413
=>x=13
Vậy x=13
d,2x.162=1024
=>2x.28=210
=>2x=210:28
=>2x=22
=>x=2
Vậy x=2